Hypotheses:
H₀: p = .25
Hₐ: p ≠ .25
Conditions:
Random sample NOT stated -- proceed with caution!Normality: 3010(.22) = 662.2 ≥ 10 and 3010(1 - .22) = 2347.8 ≥ 10 Independence: 3010(10) = 30100 < all adults (reasonable to assume)Test statistic:
[tex]\displaystyle z = \frac{.22-.25}{\sqrt{\frac{(.25)(.75)}{3010} } } \\ \\ \\ z = \frac{-.03}{.00789} \\ \\ \\ \boxed{z = -3.8011}[/tex]
Conduct the two-tailed test to calculate the area corresponding to the positive and negative z-score.
The p-value for the lower tail is .00007205. Multiply this by two to get the area for both tails:p = .0001441Conclusion:
Since p = .0001441 < α = .05, we reject the null hypothesis. There is convincing statistical evidence that the true proportion of adults that use the internet is not equal to .25.
Mr. Blue's first year salary is $30,000 and it doubles each year. What is the explicit rule for the sequence in simplified form?
What is the recursive rule?
Mr. Blue' salary is an illustration of a geometric sequence
The explicit rule of Mr. Blue 's salary is an = 30000 * 2^(n - 1)The recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000How to determine the explicit formula?Mr. Blue's salary is a geometric sequence with the following parameters:
First term, a1 = 30000
Rate, r = 2
The explicit rule is calculated as:
an = a1 * r^(n - 1)
This gives
an = 30000 * 2^(n - 1)
How to determine the recursive formula?The common ratio is calculated as:
r = an+1/an
Substitute 2 for r
2 = an+1/an
Cross multiply
an+1 = 2an
Hence, the recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000
Read more about arithmetic sequence at:
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Alge
If the number of bacteria in a colony doubles every 203 minutes and there is currently a
population of 40 bacteria, what will the population be 812 minutes from now?
bacteria
Submit
Answer:
640 Bacteria
Step-by-step explanation:
First, find out how many times the population will double. Divide the number of minutes by how long it takes for the population to double.
812÷203=4
The population will double 4 times.
Now figure out what the population will be after it doubles 4 times. Multiply the population by 2 a total of 4 times.
402222=640
That calculation could also be written with exponents:
4024=640
After 812 minutes, the population will be 640 bacteria.
Draw a net or use a formula to find the surface area of the rectangular prism
Solve the problem with more than one answer
13-7+8=
Answer:
14
-83
-43
these anwrers when you make it with different ways.
You nees to get more than one answer with this problem I guess.
13-7+8 = 14
13(-7) + 8 = -83
13-7(+8) = -43If this not what you asked please delete my answer, if not kindly give me brainliest if you like.
Answer:
THERE IS NO OTHER ANSWER THAN 14
Step-by-step explanation:
Only 1 answer can be found by doing this problem in any order:
If we do 13-7 first:
(13-7)+8=
6+8=
14
So 1 answer is 14
If we do -7+8 first:
13+(-7+8) =
13+1=
14
So either way you do it you get the same answer. This is why it doesn't matter whether you do addittion or subtraction first before the other.
THERE IS NO OTHER ANSWER THAN 14
help for (40 points) this is a k 12 thing
Answer:
4240 in²
rectangle prism area: 2(wl+hl+hw)
=======
area:
2*(20*36+25*36+25*20)4240 in²Solve completely (all missing angles and all missing sides) using ratios or laws round to the nearest tenth.
Answer:
Angle u is 52
Step-by-step explanation:
I only know this
52 because internal angle of triangle is 180 subtract 90 and 38 from 180 and you will get 52
Danita is working on a new sculpture. It will be 2 meters tall when she is finished. Will the sculpture fit in a room with a 300-centimeter high ceiling? Explain.
Answer:
yes; 2 m = 200 cm
Step-by-step explanation:
The SI prefix "centi-" signifies 1/100. That is 300 cm = 300/100 m = 3 m.
If the ceiling is 3 meters high, a sculpture that is 2 meters tall will have no difficulty fitting into the room.
MP Justify Conclusions Determine if the circumference of a circle with a
radius of 4 feet will be greater or less than 24 feet. Explain.
Answer:
less than cause 4 is before 24
Which expression is equivalent to the expression shown below?
-9.25(2n-3) - 8n
A. -18.5n + 19.75
B. 55.5n+ 27.75
C. 26.5n + 19.75
D. 27.75 -26.5n
Answer:
option D
Step-by-step explanation:
Distribute (-9.25) to 2n and (-3). When we multiply (-9.25) and 2n, we get -18.5n and when we multiply (-9.25) and (-3) we get 27.75.
-9.25(2n - 3) - 8n = -9.25*2n - (-9.25) *3 - 8n
= -18.50n + 27.75 -8n
= -18.5n - 8n + 27.75
Combine like terms. Here (-18.5n) and (-8n) are like terms
= -26.5n + 27.75
Mr. Jones is building the garage shown below. What is the volume of the garage?
Answer: 891 ft³
Step-by-step explanation:
We can break the garage into two different parts. The roof, triangular, and the rest, rectangular. I will start by solving for the rectangular part.
V = L * W * H
V = 12 ft * 9 ft * 7.5 ft
V = 810 ft³
Now, I will solve for the triangular part, the roof. First, 9 ft - 7.5 ft = 1.5 ft, so the height of just the roof is 1.5 ft.
V = [tex]\frac{L * W * H}{2}[/tex]
V = [tex]\frac{12 * 9* 1.5}{2}[/tex]
V = [tex]\frac{162}{2}[/tex]
V = 81 ft³
Lastly, I will add the two different parts together.
810 ft³ + 81 ft³ = 891 ft³
[99 POINTS] A silo is formed by welding a cylinder to a half-sphere. The radius of the dome is 15 feet, and the total height of the silo is 100 feet.
Dropdown 1: a) sphere b) cylinder
Dropdown 2: a) divide by 4, b) divide by 2, c) multiply by 2
Dropdown 3: a) 100, b) 85, c) 70
3. b) 85
How do we calculate the volume of the hemisphere?Convert Input (s) to Base UnitEvaluate FormulaConvert Result to the Output's UnitWhat is the total surface area of a hemisphere?The total surface area of the hemisphere is the sum of this curved surface area or the area of its base. The base of a hemisphere is circle of radius (r) equal as the radius of the sphere
Given,
hemisphere = 15
hight = 100
so, 100 - 15 = 85
a hemisphere is half of the sphere so to get a hemisphere from the sphere you divide by 2. the hight of the hemisphere is 15 feet so subtract that from the total of the 100 and you get 85.
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#SPJ2
Answer:
1. sphere
2. divide by 2
3. 85
Step-by-step explanation:
WILL GIVE BRAINLY
Triangle ABC is similar to triangle WYZ.
Select all angles whose cosine equals [tex]\frac{3}{5}[/tex]
Question 1 options:
Angle B
Angle Y
Angle Z
Angle C
Angle A
Angle W
Answer:Angle W and Angle C
Step-by-step explanation:
The angles whose cosine equals 3/5 are <A and <W.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
ΔACB and ΔWZY are similar to each other.
Now, Using trigonometry
cosine = Adjacent leg/ Hypotenuse
We have cosine = 3/5
where Adjacent side =3 and Hypotenuse = 5
So, the angle which have Adjacent side 3 in both triangles are
<A and <W.
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Which of the following is an equivalent expression to the expression a^1/3 divided by a^1/4?
A. 1/a^12
B. 7/a^12
C. 1/a^12
D. 1/a^7/12
Answer:
C. 1/a¹²
Step-by-step explanation:
Formula
[tex]\frac{a^{m}}{a^{n} } = a^{m-n}[/tex]Applying that here :
[tex]\frac{a^{\frac{1}{3} } }{a^{\frac{1}{4} } } = a^{\frac{1}{3}-\frac{1}{4} }[/tex][tex]a^{\frac{4-3}{12} } = a^{\frac{1}{12} }[/tex]1/a¹²Answer:
a^1/12 or choice A
Step-by-step explanation:
Given:
[tex]\displaystyle \large{\dfrac{a^{\dfrac{1}{3}}}{a^{\dfrac{1}{4}}}}[/tex]
Law of Exponent (Division Property):
[tex]\displaystyle \large{\dfrac{a^m}{a^n} = a^{m-n}}[/tex]
Therefore:
[tex]\displaystyle \large{a^{\dfrac{1}{3}-\dfrac{1}{4}}}[/tex]
Then evaluate the fractions. Keep in mind that we can only evaluate fractions with same denominator. Therefore, calculate the LCM of 3,4 which is 12:
[tex]\displaystyle \large{a^{\dfrac{4}{12}-\dfrac{3}{12}} = a^{\dfrac{1}{12}}}[/tex]
Therefore, the solution is a^1/12 or choice A
how many right angles in trapezoids
Answer:
Almost all trapezoids have two right angles, beacuse they are quadrilaterals, meaning they will have at least one or more right angles.
__________________________________________________________
Questions?Ask me in the comments box.
Please view image below, it supports the answer. The tiny squares in blue circles are highlighted right angles.
Write the expression.
Answer: 4 (4x + 7)
Step-by-step explanation:
4 ( 4x + 7)
4 is the greatest number divisble by both 16 and 28 so 4 is factored out of the equation
439,532 written in verbal form
Answer:four hundred and thirty nine thousand five hundred and thirty two
Step-by-step explanation:
Answer:
four hundred thirty nine thousand, five hundred thirty two
Step-by-step explanation:
Hope this helps :)
what is the measurement of angle p a 36B 64 c116 D 244
Answer:
b 64
Step-by-step explanation:
because p is just a mirror of o ,and o =64
Find the value of :
Answer:
i) 66
ii) 536
Step-by-step explanation:
Check attachement(s) for solution.
Attachment - 1: Solution (i)Attachment - 2: Solution (ii)The spinner at the right is spun. what is the probability to spin a blue or red? Write your
answer in simplest form
Answer: The chances of landing on blue are 1 in 4, or one fourth. The chances of landing on red are 1 in 4, or one fourth.
Step-by-step explanation:
Reduce 1/4 to lowest terms14 is already in the simplest form. It can be written as 0.25 in decimal form (rounded to 6 decimal places). Steps to simplifying fractions find the GCD (or HCF) of numerator and denominator GCD of 1 and 4 is 1 divide both the numerator and denominator by the GCD1 ÷ 14 ÷ 1 reduced fraction: 14Therefore, 1/4 simplified to lowest terms is 1/4.
if8 kg of sugar cost Php 320.00 how much would 5kg of sugar cost?
Answer:
php.200.00
Step-by-step explanation:
if 8kg is 320 what about 5kg therefore it will be 5kg × 320 ÷8 kg which will give you php 200
the ans is 200
Answer:
Php 200.00
Step-by-step explanation:
Given :
8 kg of sugar costs Php 320.00Unit rate
Total cost (Php) / Total amount of sugar (kg)320.00 / 8 Php 40.00 per 1 kg5 kg of sugar
5 x Unit rate5 x 40Php 200.00Which equations are true for x = –2 and x = 2? Select two options
x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0
A perimeter of a square field is 200, what is the area of that field?
Answer:
2500
Step-by-step explanation:
The perimeter is given by the formula :
P = 4L (L is length)
We rearrange the equation to get L as the subject:
L = P÷4
L = 200÷4
L = 50
The area of a square is given by the formula :
A = L²
A = 50²
A = 2500
Which shows the solution to the
inequality? 6(x - 2) +21 < 39
A x < 5
C x>3
B X >5
D x < 3
Answer:
A
Step-by-step explanation:
multiply the 6 with the numbers in the bracket
6x -12 + 21 < 39
addition(-12+21 =9)
6x + 9 < 39
grouping
6x < 39-9
6x < 30
divide both sides by the coefficient of x
6x/6 < 30/6
x < 5
I work 4.5 hours I made $90.00 what did I make hourly
[tex]hourly-pay = \frac{total-money-paid}{number-of-hours} =\frac{90}{4.5} =20[/tex]
Thus you made $20 per hour
Hope that helps!
I need some help on these 3 questions :)
The factor of the polynomial, the area of the pool and the simplified expression are all algebraic expressions
How to simplify the expressions?Factor of the polynomial
The polynomial is given as:
2x^3 + 6x^2 + 6x + 18
Factor out 2
2x^3 + 6x^2 + 6x + 18 = 2(x^3 + 3x^2 + 3x + 9)
Factorize
2x^3 + 6x^2 + 6x + 18 = 2(x^2(x + 3) + 3(x + 3))
Factor out x + 3
2x^3 + 6x^2 + 6x + 18 = 2(x^2 + 3)(x + 3)
Expand
2x^3 + 6x^2 + 6x + 18 = (2x^2 + 6)(x + 3)
Hence, 2x^2 + 6 is a factor of the polynomial 2x^3 + 6x^2 + 6x + 18
The length of the pool
The given parameters are:
Area = 2x^3 - 29x + 12
Width = x + 4
The length is calculated as:
Length = Area/Width
This gives
Length = 2x^2 - 29x + 12/x + 4
Factorize the numerator
Length = (2x^2 - 8x + 3)(x + 4)/x + 4
Cancel out x + 4
Length = 2x^2 - 8x + 3
Hence, the length of the pool is 2x^2 - 8x + 3
Simplify the expression
The expression is given as:
(3s^2 - 2s + 1) [tex]\div[/tex] (s^2 - s + 2)
Evaluate the quotient
3 + (s - 5)/(s^2 - 5 + 2)
Hence, the simplified expression is 3 + (s - 5)/(s^2 - 5 + 2)
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Which of the following is the main
reason people buy auto insurance?
A. They want to be covered in case their home starts on
fire.
B. It is not expensive and easily affordable.
C. It is required by law in any state in America.
D. It is very expensive and hard to finance.
Haven't learned this yet.
Explanation:
Most states (but not all) require liability insurance at minimum. This covers injury and property damage to the person you accidently hit. It likely does not cover you personally so you'd need other insurance for that.
States like Iowa, New Hampshire, and Ohio offer exemptions from insurance if you can show you are responsible with money. Meaning that if you have a steady income and are smart with money, then you likely would be able to pay off any future accident without needing insurance. Though the damages might get wildly expensive, so a liability policy isn't always a bad thing.
how do I convert 216 in percentage
Answer: 21600
216 as a percentage of certain number x can be calculated by dividing 216 by x, and multiplying the result by 100. For example, 216 as a percentage of 10 = (216 / 10) x 100% = 2160%.
Step-by-step explanation:
The area of Elizabeth's garden is 60 square
7 feet. The garden has a width of 5 feet as
shown in the diagram.
?
5 feet
What is the length, in feet, of the garden?
205 ft as lenght
Step-by-step explanation:
First i multiplyed 60x7 nd got 420. Then i subtracted 10 from 420 and got 410. Next i divided 410 by 2 and got 205 ft.
Oscar enjoys many different sports. Today, Oscar jogged for 6 minutes, rode his bike for 23 minutes, and played tennis for 49 minutes.
How much time did Oscar spend playing sports today?
Answer: 78
Step-by-step explanation:
just add the time all together then this will be your answer.
Solve.
-14 - (-12)
A. -26
B. -2
C. 2
D. 26
Answer:
-2
Step-by-step explanation:
Apply the rule for this:
a - (- b) = a + b
Thus, we have:
-14 - (-12) = -14 + 12
Add the number:
Since there are more negative than positive the final solution is negative
Hence, now 14 - 12 = 2
Now bring the negative down:
-2
Therefore, the answer is -2
Kavinsky
When there are two minuses beside each other
⇒ we can equate them as a '+'
so:
-14 - (-12) = -14 + 12 = -2 or Choice (B)
Hope that helps!
